Download presentation

Presentation is loading. Please wait.

1
Graph y = 2 3 đť‘Ą - 1

2
Write the equation of a line that is perpendicular to y = -5x -8 and passes through the point (0,9) Write the equation of a line that is parallel to y = 4 5 đť‘Ą+13 and passes through the point (0,-6)

3
**Chapter 8.9 system of linear equations**

Todayâ€™s objectives: - solve a system of linear equations through graphing and determine whether there is one solution, infinite solutions, or no solution.

4
**Important vocabulary System of linear equations**

-two linear equations with the same two variables. The two variables will make both equations true. ex: 2x -1 = y **the solution x = 5 and y = 9 makes x + 4 = y both statements true. Solution of a linear system - an ordered pair (x,y) whose values make both linear equations true.

5
**We can graph two linear equations to find a solutionâ€¦**

Y = 2x â€“ 4 Y = -3x + 1

6
**We can graph two linear equations to find a solutionâ€¦**

Y = x + 2 Y = -2x + 2

7
**We can graph two linear equations to find a solutionâ€¦**

Y = x + 4 Y = 4x + 1

8
**There can be 3 different outcomes to graphing a system of linear equationsâ€¦**

9
**Find the solution to the system**

y + 2x = 1 y = -2x + 3

10
**Find the solution to the system**

y x = 5 y = x + 5

11
**Find the solution to the system**

Y = 1 2 x + 2 Y = -x + 5

12
**Steps we take to solve a system by graphing**

1.) make sure both equations are in slope-intercept form y = mx + b 2.) graph both equations 3.) find the solution -three different outcomes 1- one solution 2- infinite solutions 3 - no solution

13
Practice on your own 1.) y = 1 3 đť‘Ą â€“ 3 2.) y â€“ x = 5 3.) y đť‘Ą = 2 y = đť‘Ą + 1 y = x + 7 y â€“ 2 = 2 3 đť‘Ą

14
Homework Page 433 #â€™S 2-5, 7-21

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google